Second-order energy expansion of Bose gases with three-body interactions

Brooks, Morris

Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e165

Résumé

We provide a second-order energy expansion for a gas of N bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam, Ricaud, and Triay in [25], where they predict the subleading term in the asymptotic expansion of the ground state energy to be of the order $\sqrt {N}$. In addition, we show that low-energy states satisfy Bose-Einstein condensation with a rate of the order $N^{-\frac {3}{4}}$.

Détail

DOI : 10.1017/fms.2025.10113

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